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Russian Mathematical Surveys, 2006, Volume 61, Issue 6, Pages 1101–1166
DOI: https://doi.org/10.1070/RM2006v061n06ABEH004370 (Mi rm5293) 		 
This article is cited in 12 scientific papers (total in 12 papers)

Szemerédi's theorem and problems on arithmetic progressions

I. D. Shkredov

M. V. Lomonosov Moscow State University
English version PDF (816 kB) Citations (12) Russian version article
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DOI: https://doi.org/10.1070/RM2006v061n06ABEH004370
Abstract: Szemerédi's famous theorem on arithmetic progressions asserts that every subset of integers of positive asymptotic density contains arithmetic progressions of arbitrary length. His remarkable theorem has been developed into a major new area of combinatorial number theory. This is the topic of the present survey.
Received: 27.03.2006
Bibliographic databases:
Document Type: Article
UDC: 511.218+511.336
MSC: Primary 11B25; Secondary 05D10, 28D05, 28D15
Language: English
Original paper language: Russian
Citation: I. D. Shkredov, “Szemerédi's theorem and problems on arithmetic progressions”, Russian Math. Surveys, 61:6 (2006), 1101–1166
Citation in format AMSBIB
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\paper Szemer\'edi's theorem and problems on arithmetic progressions
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\yr 2006
\vol 61
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\pages 1101--1166
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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